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Finding the Fourth Proportional to 30,710.60, 46,050.78 and 9,931.40

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Solution

The fourth proportional to 30,710.60, 46,050.78 and 9,931.40 is: 14,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.60 : 46,050.78 = 9,931.40 : x
  2. Step 2: Convert to fraction form
    30,710.60/46,050.78 = 9,931.40/x
  3. Step 3: Cross multiply
    30,710.60x = 46,050.78 × 9,931.40
  4. Step 4: Simplify right side
    30,710.60x = 457,348,716.49
  5. Step 5: Solve for x
    x = 457,348,716.49/30,710.60
  6. Step 6: Final answer
    x = 14,892.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.